noncolinear points
points that do not lie on the same line
Noncolinear points are three or more points that do not lie on a straight line. In other words, any two of the points can be connected by a straight line, but the remaining points cannot be included on the same line. For example, if we consider three points A, B, and C, then these points would be noncolinear if they do not lie on a straight line.
Some properties of noncolinear points are:
1. Three noncolinear points define a unique plane: If we take any three noncolinear points A, B, and C, then they define a unique plane called plane ABC.
2. Any two noncolinear points lie on a unique line: If we take any two noncolinear points A and B, then they lie on a unique line called line AB.
3. Noncolinear points are important in geometry: Noncolinear points are used to define many geometric concepts such as planes, angles, and triangles. For example, a triangle is defined as a figure formed by connecting three noncolinear points with straight lines.
In summary, noncolinear points are three or more points that do not lie on the same line. They are fundamental in geometry and can be used to define important geometric concepts, such as planes and triangles.
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